An aluminium sphere is heated from 0°C to 100°C. The change in the volume of the sphere of radius 10 cm is ( $\gamma_{Al}$ = 5.4 ×10⁻⁵/°C) is
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An aluminium sphere is heated from 0°C to 100°C. The change in the volume of the sphere of radius 10 cm is ( γ A l \gamma_{Al} γ A l ​ = 5.4 ×10⁻⁵/°C) is

G1 Physics · Accepted Answer

Use ΔL=αLΔT, ΔA≈2αAΔT and ΔV≈3αVΔT (or the given cubical coefficient γ). For constrained bodies include the elastic stress needed to cancel free expansion. Evaluating the given data/statements gives C: 22.6 cm³. Therefore the correct answer is C.

An aluminium sphere is heated from 0°C to 100°C. The change in the volume of the sphere of radius 10 cm is ( γ A l \gamma_{Al} γ A l ​ = 5.4 ×10⁻⁵/°C) is

An aluminium sphere is heated from 0°C to 100°C. The change in the volume of the sphere of radius 10 cm is ( γ A l \gamma_{Al} γ A l = 5.4 ×10⁻⁵/°C) is